Describe how the graph of f(x)=54(x-5/3)^3-16 is related to the graph of y=x^3 by specifying the various horizontal and vertical movements and expansions or contractions which are produced by the numbers 54, -5/3 and -16 in the expression f(x)=54(x-5/3)^3-16.
Can somebody help explain what this means and the ans pls?
2006-12-10 09:23:31 · 2 answers · asked by SHIBZ 2 in Science & Mathematics ➔ Mathematics
I will use notation y = 54(x - 5/3)^3 - 16. Now it is right shifted by 5/3 graph y = 54x^3 - 16 which is down shifted graph y = 54x^3 which is vertically stretched by 54 graph y = x^3. Now going backwards you can take y = x^3, stratch (expand/multiply) by 54, shift it down by 16 and shift it right by 5/3 and you will get your original.
2006-12-10 09:50:16 · answer #1 · answered by fernando_007 6 · 0⤊ 0⤋
54 is 54x vertical expansion
-5/3 is 5/3 shift right
-16 is shift of 16 down
2006-12-10 17:47:54 · answer #2 · answered by jacinablackbox 4 · 0⤊ 0⤋